390710016 has 216 divisors, whose sum is σ = 1203392736. Its totient is φ = 121651200.

The previous prime is 390709999. The next prime is 390710017. The reversal of 390710016 is 610017093.

It is not an unprimeable number, because it can be changed into a prime (390710017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3868366 + ... + 3868466.

Almost surely, 2^390710016 is an apocalyptic number.

390710016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601696368).

390710016 is an abundant number, since it is smaller than the sum of its proper divisors (812682720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390710016 is a wasteful number, since it uses less digits than its factorization.

390710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 390710016 is about 19766.3860126225. The cubic root of 390710016 is about 731.0574628753.

The spelling of 390710016 in words is "three hundred ninety million, seven hundred ten thousand, sixteen".